Origin of sidebranching in dendritic growth

Olivier Martin, Nigel D Goldenfeld

Research output: Contribution to journalArticlepeer-review


We present mechanisms for sidebranch generation in dendritic growth, stressing the importance of nonlinear effects. One such mechanism, which we call solvability-induced sidebranching, relies on the fact that the steady states form a discrete family. In addition, time-dependent simulations of crystal growth in the boundary-layer model are performed. We find that there is a critical value of the anisotropy strength below which the needle crystals are linearly unstable to tip splitting; above this value, the needle crystals have a finite-amplitude instability.

Original languageEnglish (US)
Pages (from-to)1382-1390
Number of pages9
JournalPhysical Review A
Issue number3
StatePublished - 1987

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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